Question

A triangle has vertices at A (1.3), B(4,2), and C (3,8). Which transformation wouldproduce an image with vertices A' (2,6), B'(8,4), C'(6,16)?A rotation 90º countercockwise.A dilation with a scale factor of 4.A rotation 90° clockwise.A reflection over the x-axis.A dilation with a scale factor of 2

Answer 1

The transformation is a dilation with a scale factor of 2.

Step-by-step explanation

The vertices of the triangle are given as A (1, 3), B(4, 2), and C (3, 8).

Which transformation would produce an image with vertices

A' (2, 6), B'(8, 4), C'(6, 16)?

As we can see from the solution of the transformation, the new coordinates are double the given coordinates.

A rotation, 90º clockwise or anticlockwise interchanges the x and y coordinates somewhat.

A reflection does this interchanging too.

But a dilation with a scale factor changes the size of the figure by multiplying the coordinates of the vertices by the value of the scale factor.

Since the new coordinates are double of the old coordinates, we can see that this transformation is a dilation with a scale factor of 2.

Hope this Helps!!!